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Finding the Third Proportional to 414,392 and 907,828

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Solution

The third proportional to 414,392 and 907,828 is: 1,988,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,392 : 907,828 = 907,828 : x
  2. Step 2: Convert to fraction form
    414,392/907,828 = 907,828/x
  3. Step 3: Cross multiply
    414,392x = 907,828 × 907,828
  4. Step 4: Simplify right side
    414,392x = 824,151,677,584
  5. Step 5: Solve for x
    x = 824,151,677,584/414,392
  6. Step 6: Final answer
    x = 1,988,821.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.